 CF; and because it has been shewn, that, as the base BC is to the base CD, so is the triangle ABC to the triangle ACD; and as the triangle ABC is to the triangle ACD, so is the parallelogram EC to the parallelogram CF; therefore, as the base BC is to...  Manual of Euclid. Books IV. V. VI. - Page 68by Euclid - 1859Full view - About this book
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...and as the triangle ABC is to the triangle ACD, so is the parallelogram EC to the parallelogram CF ; therefore, as the base BC is to the base -CD, so is (11. V.) the parallelogram EC to the parallelogram CF. Wherefore, triangles, etc. Q_. ED COR. From... | |
 | John Playfair - Geometry - 1855 - 334 pages
...triangle ACD, so is the parallelogram EC to the parallelogram CF. And because it has been shewn, that, as the base BC is to the base CD, so is the triangle ABC to the trfansle ACD : and as the triangle ABC to the triangle ACD, so is the parallelogram EC to the parallelogram... | |
 | Euclides - 1855 - 230 pages
...and as the triangle ABC is to the triangle ACD, so is the parallelogram CE to the parallelogram CF; therefore, as the base BC is to the base CD, so is the parallelogram CE to the parallelogram CF (e). COROLLARY 1. From this it is evident, that triangles... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...if the base HC be greater than the base CL, the triangle AHC is greater than the triangle ALC; and if equal, equal ; and if less, less ; therefore, as...the base BC is to the base CD, so is the triangle AB C to the triangle A CD. (v. def. 5.) And because the parallelogram CE is double of the triangle... | |
 | Eucleides - 1860 - 396 pages
...and as the triangle ABC is to the triangle ACD, so is the parallelogram CE to the parallelogram CF ; therefore, as the base BC is to the base CD, so is the parahlelogram CE to the parallelogram CF (e). COROLLARY 1. From this it is evident, that triangles... | |
 | Euclides - 1863 - 122 pages
...And as the triangle AB C is to the t,iangle ACD so is the parallelogram EC to the parallelogram C F. Therefore, as the base BC is to the base CD so is the parallelogram EC to the parallelogram CF(V. 11). Wherefore, triangles, &c. QED Let the figures be placed... | |
 | Euclides - 1864 - 448 pages
...and as the triangle ABC is to the triangle ACD, so is the parallelogram EC to the parallelogram CF; therefore, as the base BC is to the base CD, so is the parallelogram EC to the parallelogram CF. (v. 11.) Wherefore, triangles, &c. QED COR. From this it... | |
 | Euclides - 1865 - 402 pages
...and as the triangle ABC is to the triangle ACD, so is the parallelogram EC to the parallelogram CF ; therefore, as the base BC is to the base CD, so is the parallelogram EC to the parallelogram CF. (v. 11.) Wherefore, triangles, &c. QED Cor. From this it... | |
 | Robert Potts - 1865 - 528 pages
...and as the triangle ABC is to the triangle ACD, so is vhe parallelogram EC to tho parallelogam CF; therefore, as the base BC is to the base CD, so is the parallelogram EC to the parallelogram CF. (v. 11.) Wherefore, triangles, &c. QED CoR. From this it... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...if the base HC be greater than the base CL, the triangle AHC is greater than the triangle ACL ; and if equal, equal ; and if less, less ; therefore as...CD, so is the triangle ABC to the triangle ACD. [V. Definition 5. And, because the parallelogram CE is double of the triangle ABC, and the parallelogram... | |
| |
